Minimum Tooth Flank Radius Calculator

✖Roller Radius of Chain Sprocket Wheel is the radius of the roller of the chain sprocket wheel, which is a critical component in a bicycle's gear system.ⓘ Roller Radius of Chain [R]			+10% -10%
✖Number of teeth on sprocket is the total count of teeth present on the circumference of the sprocket wheel, which affects the gear ratio and overall mechanism.ⓘ Number of Teeth on Sprocket [z]			+10% -10%

✖Minimum Tooth Flank Radius is the smallest radius of the tooth flank of a sprocket wheel, which affects the wheel's overall strength and durability.ⓘ Minimum Tooth Flank Radius [re_min]

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Minimum Tooth Flank Radius Solution

STEP 0: Pre-Calculation Summary

Formula Used

Minimum Tooth Flank Radius = 0.24*Roller Radius of Chain*(Number of Teeth on Sprocket+2)
re_min = 0.24*R*(z+2)
This formula uses 3 Variables

Variables Used

Minimum Tooth Flank Radius - (Measured in Meter) - Minimum Tooth Flank Radius is the smallest radius of the tooth flank of a sprocket wheel, which affects the wheel's overall strength and durability.
Roller Radius of Chain - (Measured in Meter) - Roller Radius of Chain Sprocket Wheel is the radius of the roller of the chain sprocket wheel, which is a critical component in a bicycle's gear system.
Number of Teeth on Sprocket - Number of teeth on sprocket is the total count of teeth present on the circumference of the sprocket wheel, which affects the gear ratio and overall mechanism.

STEP 1: Convert Input(s) to Base Unit

Roller Radius of Chain: 5.961 Millimeter --> 0.005961 Meter (Check conversion here)
Number of Teeth on Sprocket: 18 --> No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

re_min = 0.24*R*(z+2) --> 0.24*0.005961*(18+2)

Evaluating ... ...

re_min = 0.0286128

STEP 3: Convert Result to Output's Unit

0.0286128 Meter -->28.6128 Millimeter (Check conversion here)

FINAL ANSWER

28.6128 Millimeter <-- Minimum Tooth Flank Radius

(Calculation completed in 00.004 seconds)

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Home » Physics » Design of Automobile Elements » Design of Chain Drives » Mechanical » Proportions of the Sprocket Wheel » Minimum Tooth Flank Radius

Credits

Created by Kethavath Srinath

Osmania University (OU), Hyderabad

Kethavath Srinath has created this Calculator and 1000+ more calculators!

Verified by Urvi Rathod

Vishwakarma Government Engineering College (VGEC), Ahmedabad

Urvi Rathod has verified this Calculator and 1900+ more calculators!

< Proportions of the Sprocket Wheel Calculators

Top Diameter of Sprocket Wheel

LaTeX Go Top Diameter of Sprocket Wheel = Sproket Diameter of Pitch Circle+Pitch of Chain*(1-(1.6/Number of Teeth on Sprocket))-2*Roller Radius of Chain

Pitch Circle Diameter given Pitch

LaTeX Go Sproket Diameter of Pitch Circle = Pitch of Chain/sin(3.035/Number of Teeth on Sprocket)

Number of Teeth on Sprocket given Pitch Angle of Sprocket

LaTeX Go Number of Teeth on Sprocket = 360/(Pitch Angle of Sprocket*(180/pi))

Pitch Angle of Sprocket

LaTeX Go Pitch Angle of Sprocket = (360/Number of Teeth on Sprocket)/57.24

Minimum Tooth Flank Radius Formula

LaTeX Go

Minimum Tooth Flank Radius = 0.24*Roller Radius of Chain*(Number of Teeth on Sprocket+2)
re_min = 0.24*R*(z+2)

What is Tooth Flank?

The tooth flank is the side surface of a sprocket or gear tooth that comes into contact with the chain's rollers or the meshing gear teeth. It guides and supports the chain or gear during engagement and rotation, playing a crucial role in ensuring smooth and efficient power transmission. Proper design of the tooth flank helps reduce wear and noise in the system.

How to Calculate Minimum Tooth Flank Radius?

Minimum Tooth Flank Radius calculator uses Minimum Tooth Flank Radius = 0.24*Roller Radius of Chain*(Number of Teeth on Sprocket+2) to calculate the Minimum Tooth Flank Radius, Minimum Tooth Flank Radius formula is defined as a measure of the smallest radius of curvature at the root fillet of a gear tooth, which is a critical parameter in gear design that affects the strength and durability of the gear. It is an important consideration in the design of gears for various mechanical systems. Minimum Tooth Flank Radius is denoted by re_min symbol.

How to calculate Minimum Tooth Flank Radius using this online calculator? To use this online calculator for Minimum Tooth Flank Radius, enter Roller Radius of Chain (R) & Number of Teeth on Sprocket (z) and hit the calculate button. Here is how the Minimum Tooth Flank Radius calculation can be explained with given input values -> 28800 = 0.24*0.005961*(18+2).

FAQ

What is Minimum Tooth Flank Radius?

Minimum Tooth Flank Radius formula is defined as a measure of the smallest radius of curvature at the root fillet of a gear tooth, which is a critical parameter in gear design that affects the strength and durability of the gear. It is an important consideration in the design of gears for various mechanical systems and is represented as re_min = 0.24*R*(z+2) or Minimum Tooth Flank Radius = 0.24*Roller Radius of Chain*(Number of Teeth on Sprocket+2). Roller Radius of Chain Sprocket Wheel is the radius of the roller of the chain sprocket wheel, which is a critical component in a bicycle's gear system & Number of teeth on sprocket is the total count of teeth present on the circumference of the sprocket wheel, which affects the gear ratio and overall mechanism.

How to calculate Minimum Tooth Flank Radius?

Minimum Tooth Flank Radius formula is defined as a measure of the smallest radius of curvature at the root fillet of a gear tooth, which is a critical parameter in gear design that affects the strength and durability of the gear. It is an important consideration in the design of gears for various mechanical systems is calculated using Minimum Tooth Flank Radius = 0.24*Roller Radius of Chain*(Number of Teeth on Sprocket+2). To calculate Minimum Tooth Flank Radius, you need Roller Radius of Chain (R) & Number of Teeth on Sprocket (z). With our tool, you need to enter the respective value for Roller Radius of Chain & Number of Teeth on Sprocket and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

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